EduSahara™ Assignment
Name : Polynomial Concepts
Chapter : Polynomials
Grade : CBSE Grade IX
License : Non Commercial Use
Question 1
1.
Which of the following are polynomials?
a)
    • (
      x
      +
      y
      )

      (
      x
      −
      y
      )
b)
    • x
      +
      1

      x
c)
    • x
      2
       
d)
    • x
      2
       
      +
      1

      x
      2
       
e)
    • (
      x
      +
      y
      )
  • (i)
    {d,a,c}
  • (ii)
    {b,e,c}
  • (iii)
    {b,e}
  • (iv)
    {c,e}
  • (v)
    {a,c}
Question 2
2.
Which of the following are not polynomials?
a)
    • 25
      x
      2
       
b)
    • x
      +
      1

      x
c)
    • (
      3
      x
      +
      4
      y
      )

      (
      8
      x
      −
      7
      y
      )
d)
    • (
      3
      x
      +
      4
      y
      )
e)
    • (
      24
      x
      2
       
      +
      11
      x
      y
      −
      28
      y
      2
       
      )
  • (i)
    {a,b}
  • (ii)
    {d,c}
  • (iii)
    {b,c}
  • (iv)
    {d,c,b}
  • (v)
    {e,a,b}
Question 3
3.
Which of the following are not polynomials?
a)
    • √x
b)
    • (
      12
      x
      −
      9
      y
      )
c)
    • 16
      x
      2
       
d)
    • (
      12
      x
      +
      9
      y
      )
e)
    • 16
      x
      2
       
      +
      1

      16
      x
      2
       
  • (i)
    {a,e}
  • (ii)
    {b,a}
  • (iii)
    {d,b,a}
  • (iv)
    {c,e,a}
  • (v)
    {c,e}
Question 4
4.
Which of the following are not polynomials?
a)
    • (
      7
      x
      2
       
      +
      7
      x
      y
      −
      14
      y
      2
       
      )
b)
    • (
      7
      x
      −
      7
      y
      )
c)
    • 100
      x
      2
       
d)
    • √x
e)
    • (
      x
      +
      2
      y
      )

      (
      7
      x
      −
      7
      y
      )
  • (i)
    {b,e,d}
  • (ii)
    {d,e}
  • (iii)
    {b,e}
  • (iv)
    {a,d}
  • (v)
    {c,a,d}
Question 5
5.
    • The degree of the polynomial
    • (
      7
      x
      +
      5
      )
    • is
  • (i)
    0
  • (ii)
    (-2)
  • (iii)
    4
  • (iv)
    1
  • (v)
    2
Question 6
6.
    • The degree of the polynomial
    • (
      2
      i
      2
       
      −
      8
      i
      −
      4
      )
    • is
  • (i)
    (-1)
  • (ii)
    1
  • (iii)
    4
  • (iv)
    2
  • (v)
    3
Question 7
7.
    • The degree of the polynomial
    • (
      9
      h
      4
       
      −
      2
      h
      3
       
      −
      8
      )
    • is
  • (i)
    5
  • (ii)
    3
  • (iii)
    4
  • (iv)
    7
  • (v)
    2
Question 8
8.
    • The degree of the polynomial
    • (
      5
      u
      5
       
      +
      6
      u
      4
       
      +
      8
      u
      3
       
      +
      9
      u
      2
       
      +
      9
      u
      )
    • is
  • (i)
    2
  • (ii)
    4
  • (iii)
    6
  • (iv)
    8
  • (v)
    5
Question 9
9.
    • The constant term in polynomial
    • (
      7
      j
      −
      6
      )
    • is
  • (i)
    -6
  • (ii)
    -8
  • (iii)
    -3
  • (iv)
    -7
  • (v)
    -5
Question 10
10.
    • The constant term in polynomial
    • (
      −
      6
      x
      2
       
      −
      9
      x
      +
      5
      )
    • is
  • (i)
    5
  • (ii)
    7
  • (iii)
    6
  • (iv)
    4
  • (v)
    2
Question 11
11.
    • The coefficient of term
    • v
      2
       
    • in polynomial
    • (
      −
      v
      3
       
      +
      7
      v
      2
       
      +
      4
      v
      +
      6
      )
    • is
  • (i)
    7
  • (ii)
    9
  • (iii)
    6
  • (iv)
    8
  • (v)
    4
Question 12
12.
    • The coefficient of term
    • f
      4
       
    • in polynomial
    • (
      f
      4
       
      −
      5
      f
      3
       
      −
      8
      f
      2
       
      +
      f
      −
      8
      )
    • is
  • (i)
    0
  • (ii)
    1
  • (iii)
    -2
  • (iv)
    2
  • (v)
    4
Question 13
13.
Which of the following algebraic expressions is a monomial?
  • (i)
    (
    −
    5
    a
    4
     
    −
    4
    a
    3
     
    −
    8
    a
    2
     
    −
    3
    a
    +
    7
    )
  • (ii)
    (
    −
    7
    a
    )
  • (iii)
    (
    −
    a
    4
     
    −
    3
    a
    3
     
    −
    8
    a
    2
     
    +
    8
    a
    −
    6
    )
  • (iv)
    (
    6
    a
    3
     
    +
    7
    a
    2
     
    +
    3
    a
    )
  • (v)
    (
    −
    5
    a
    3
     
    +
    4
    a
    2
     
    )
Question 14
14.
Which of the following algebraic expressions is a binomial?
  • (i)
    (
    c
    4
     
    +
    5
    c
    −
    7
    )
  • (ii)
    c
  • (iii)
    (
    −
    8
    c
    4
     
    −
    8
    c
    3
     
    +
    6
    c
    2
     
    −
    8
    c
    −
    6
    )
  • (iv)
    (
    −
    9
    c
    2
     
    +
    2
    )
  • (v)
    (
    6
    c
    4
     
    +
    3
    c
    3
     
    +
    6
    c
    2
     
    +
    4
    c
    +
    9
    )
Question 15
15.
Which of the following algebraic expressions is a trinomial?
  • (i)
    (
    3
    u
    4
     
    +
    8
    u
    2
     
    )
  • (ii)
    (
    6
    u
    4
     
    −
    u
    3
     
    −
    5
    u
    2
     
    −
    u
    −
    5
    )
  • (iii)
    (
    9
    u
    4
     
    −
    7
    u
    3
     
    −
    9
    )
  • (iv)
    (
    −
    u
    )
  • (v)
    (
    6
    u
    4
     
    +
    3
    u
    3
     
    +
    7
    u
    2
     
    +
    4
    u
    +
    3
    )
Question 16
16.
Which of the following algebraic expressions is a constant polynomial?
  • (i)
    (
    w
    3
     
    +
    6
    w
    )
  • (ii)
    7
  • (iii)
    (
    −
    w
    2
     
    −
    w
    +
    5
    )
  • (iv)
    (
    −
    9
    w
    3
     
    )
  • (v)
    (
    4
    w
    4
     
    −
    5
    w
    3
     
    +
    7
    w
    2
     
    −
    2
    w
    −
    7
    )
Question 17
17.
Which of the following algebraic expressions is a zero polynomial?
  • (i)
    3
    q
    3
     
  • (ii)
    0
  • (iii)
    (
    −
    9
    q
    3
     
    −
    8
    q
    2
     
    +
    2
    q
    )
  • (iv)
    (
    −
    5
    q
    2
     
    −
    3
    )
  • (v)
    (
    −
    9
    q
    4
     
    +
    4
    q
    3
     
    −
    4
    q
    2
     
    +
    8
    q
    +
    4
    )
Question 18
18.
Which of the following algebraic expressions is a constant polynomial?
  • (i)
    (
    −
    y
    5
     
    +
    5
    y
    4
     
    −
    2
    y
    3
     
    −
    5
    y
    2
     
    −
    3
    )
  • (ii)
    (
    −
    1
    )
  • (iii)
    (
    −
    7
    y
    +
    6
    )
  • (iv)
    (
    −
    6
    y
    3
     
    +
    5
    y
    2
     
    −
    6
    y
    +
    3
    )
  • (v)
    (
    6
    y
    2
     
    +
    4
    y
    +
    8
    )
Question 19
19.
Which of the following algebraic expressions is a linear polynomial?
  • (i)
    (
    −
    8
    d
    3
     
    −
    5
    d
    2
     
    −
    2
    d
    +
    6
    )
  • (ii)
    (
    d
    +
    5
    )
  • (iii)
    4
  • (iv)
    (
    −
    d
    2
     
    −
    2
    d
    −
    4
    )
  • (v)
    (
    d
    5
     
    −
    8
    d
    3
     
    −
    8
    d
    2
     
    +
    9
    d
    +
    5
    )
Question 20
20.
Which of the following algebraic expressions is a quadratic polynomial?
  • (i)
    (
    9
    p
    2
     
    −
    3
    p
    −
    3
    )
  • (ii)
    (
    −
    5
    p
    +
    3
    )
  • (iii)
    (
    −
    2
    )
  • (iv)
    (
    p
    3
     
    +
    4
    p
    2
     
    +
    8
    p
    +
    8
    )
  • (v)
    (
    3
    p
    5
     
    −
    p
    4
     
    +
    4
    p
    3
     
    +
    6
    p
    2
     
    +
    9
    )
Question 21
21.
Which of the following algebraic expressions is a cubic polynomial?
  • (i)
    (
    5
    x
    −
    3
    )
  • (ii)
    (
    4
    x
    2
     
    +
    9
    x
    +
    5
    )
  • (iii)
    (
    −
    8
    x
    3
     
    −
    x
    2
     
    −
    5
    x
    −
    3
    )
  • (iv)
    7
  • (v)
    (
    x
    5
     
    −
    x
    4
     
    −
    4
    x
    2
     
    −
    6
    x
    +
    5
    )
Question 22
22.
    • The degree of polynomial
    • (
      −
      g
      h
      +
      5
      g
      +
      8
      h
      −
      7
      )
    • is
  • (i)
    2
  • (ii)
    3
  • (iii)
    1
  • (iv)
    (-1)
  • (v)
    4
Question 23
23.
    • The degree of polynomial
    • (
      −
      6
      a
      2
       
      b
      2
       
      +
      13
      b
      2
       
      +
      9
      b
      −
      8
      )
    • is
  • (i)
    6
  • (ii)
    4
  • (iii)
    5
  • (iv)
    2
  • (v)
    3
Question 24
24.
    • The degree of polynomial
    • (
      −
      5
      q
      2
       
      r
      2
       
      s
      2
       
      −
      6
      q
      r
      2
       
      −
      7
      q
      s
      +
      6
      r
      2
       
      s
      +
      r
      s
      )
    • is
  • (i)
    3
  • (ii)
    7
  • (iii)
    5
  • (iv)
    6
  • (v)
    9
Question 25
25.
    • The degree of polynomial
    • (
      −
      4
      m
      3
       
      n
      3
       
      −
      2
      m
      3
       
      o
      3
       
      +
      8
      m
      2
       
      o
      3
       
      +
      5
      m
      n
      2
       
      o
      3
       
      −
      3
      m
      o
      3
       
      −
      7
      n
      3
       
      o
      2
       
      −
      1
      )
    • is
  • (i)
    3
  • (ii)
    9
  • (iii)
    6
  • (iv)
    5
  • (v)
    7
Question 26
26.
    • The coefficient of term
    • n
      o
    • in polynomial
    • (
      −
      7
      n
      o
      +
      6
      n
      −
      5
      o
      +
      9
      )
    • is
  • (i)
    -8
  • (ii)
    -10
  • (iii)
    -5
  • (iv)
    -7
  • (v)
    -6
Question 27
27.
    • The coefficient of term
    • s
      2
       
      t
    • in polynomial
    • (
      −
      5
      s
      2
       
      t
      +
      2
      s
      t
      −
      4
      t
      2
       
      −
      t
      )
    • is
  • (i)
    -6
  • (ii)
    -5
  • (iii)
    -8
  • (iv)
    -2
  • (v)
    -4
Question 28
28.
    • The coefficient of term
    • g
      2
       
      h
      2
       
      i
      2
       
    • in polynomial
    • (
      −
      2
      g
      2
       
      h
      2
       
      i
      2
       
      +
      8
      g
      h
      2
       
      i
      −
      5
      g
      h
      2
       
      +
      5
      g
      i
      −
      5
      g
      )
    • is
  • (i)
    1
  • (ii)
    -4
  • (iii)
    -2
  • (iv)
    -3
  • (v)
    -1
Question 29
29.
    • The coefficient of term
    • e
      3
       
      f
      g
      2
       
    • in polynomial
    • (
      −
      6
      e
      3
       
      f
      g
      2
       
      +
      5
      e
      3
       
      g
      2
       
      −
      e
      2
       
      f
      3
       
      g
      2
       
      −
      3
      e
      f
      2
       
      g
      −
      8
      e
      g
      +
      9
      f
      3
       
      g
      −
      2
      f
      g
      2
       
      )
    • is
  • (i)
    -7
  • (ii)
    -9
  • (iii)
    -6
  • (iv)
    -5
  • (v)
    -4
Question 30
30.
Which of the following algebraic expressions is a monomial?
  • (i)
    (
    −
    2
    g
    3
     
    h
    2
     
    i
    2
     
    +
    9
    g
    2
     
    h
    2
     
    i
    −
    g
    h
    3
     
    +
    g
    h
    2
     
    i
    3
     
    )
  • (ii)
    (
    −
    3
    g
    2
     
    h
    2
     
    i
    2
     
    )
  • (iii)
    (
    2
    g
    3
     
    −
    8
    h
    2
     
    )
  • (iv)
    (
    9
    g
    2
     
    h
    3
     
    i
    2
     
    +
    6
    g
    h
    3
     
    i
    2
     
    +
    5
    g
    h
    i
    )
  • (v)
    (
    −
    6
    g
    2
     
    h
    3
     
    i
    3
     
    −
    7
    g
    2
     
    h
    i
    2
     
    +
    5
    g
    i
    −
    2
    h
    2
     
    i
    3
     
    )
Question 31
31.
Which of the following algebraic expressions is a binomial?
  • (i)
    (
    2
    p
    3
     
    q
    3
     
    +
    3
    p
    3
     
    q
    2
     
    r
    )
  • (ii)
    (
    5
    p
    2
     
    q
    r
    2
     
    −
    9
    p
    q
    r
    +
    3
    p
    r
    )
  • (iii)
    (
    6
    p
    3
     
    r
    +
    4
    q
    3
     
    r
    3
     
    −
    4
    q
    3
     
    r
    −
    3
    q
    r
    )
  • (iv)
    (
    −
    4
    p
    3
     
    q
    2
     
    r
    +
    2
    p
    2
     
    q
    3
     
    r
    +
    6
    q
    3
     
    r
    −
    8
    r
    2
     
    )
  • (v)
    (
    −
    4
    p
    3
     
    q
    r
    2
     
    )
Question 32
32.
Which of the following algebraic expressions is a trinomial?
  • (i)
    4
    x
    y
    3
     
    z
  • (ii)
    (
    3
    x
    3
     
    y
    2
     
    z
    3
     
    +
    2
    y
    z
    2
     
    −
    8
    )
  • (iii)
    (
    6
    x
    3
     
    −
    8
    x
    2
     
    y
    2
     
    z
    +
    9
    x
    2
     
    z
    3
     
    +
    3
    x
    )
  • (iv)
    (
    7
    x
    y
    z
    3
     
    −
    8
    x
    z
    )
  • (v)
    (
    6
    x
    3
     
    y
    z
    −
    5
    x
    3
     
    z
    2
     
    +
    2
    x
    2
     
    y
    3
     
    +
    8
    y
    z
    2
     
    )
Question 33
33.
Which of the following algebraic expressions is a constant polynomial?
  • (i)
    5
  • (ii)
    (
    −
    9
    n
    3
     
    o
    3
     
    p
    2
     
    )
  • (iii)
    (
    4
    n
    3
     
    −
    5
    o
    p
    3
     
    )
  • (iv)
    (
    −
    n
    3
     
    o
    2
     
    p
    3
     
    +
    7
    n
    3
     
    p
    3
     
    −
    2
    o
    3
     
    p
    3
     
    +
    6
    )
  • (v)
    (
    −
    9
    n
    3
     
    o
    3
     
    p
    3
     
    +
    5
    n
    3
     
    o
    2
     
    +
    3
    n
    3
     
    o
    p
    2
     
    )
Question 34
34.
Which of the following algebraic expressions is a zero polynomial?
  • (i)
    (
    2
    r
    3
     
    s
    t
    2
     
    −
    9
    r
    2
     
    s
    3
     
    t
    2
     
    +
    5
    r
    2
     
    s
    t
    2
     
    )
  • (ii)
    (
    −
    2
    r
    3
     
    s
    t
    3
     
    )
  • (iii)
    0
  • (iv)
    (
    −
    r
    s
    2
     
    t
    +
    4
    s
    2
     
    t
    3
     
    )
  • (v)
    (
    −
    3
    r
    3
     
    s
    t
    3
     
    −
    6
    r
    3
     
    s
    t
    2
     
    −
    4
    r
    3
     
    t
    3
     
    −
    2
    r
    3
     
    )
    Assignment Key

  •  1) (iv)
  •  2) (iii)
  •  3) (i)
  •  4) (ii)
  •  5) (iv)
  •  6) (iv)
  •  7) (iii)
  •  8) (v)
  •  9) (i)
  •  10) (i)
  •  11) (i)
  •  12) (ii)
  •  13) (ii)
  •  14) (iv)
  •  15) (iii)
  •  16) (ii)
  •  17) (ii)
  •  18) (ii)
  •  19) (ii)
  •  20) (i)
  •  21) (iii)
  •  22) (i)
  •  23) (ii)
  •  24) (iv)
  •  25) (iii)
  •  26) (iv)
  •  27) (ii)
  •  28) (iii)
  •  29) (iii)
  •  30) (ii)
  •  31) (i)
  •  32) (ii)
  •  33) (i)
  •  34) (iii)